PRINCIPLE OF TELETHOSCOPE REPRESENTING THE SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS BY LOCAL DATA

The author gave a general lecture based on the paper entitled PRINCIPLE OF TELETHOSCOPE which will be published in the Proceedings of the Graz Workshop "Functional-analytic and complex methods, their interactions and applications to Partial Differential Equations". In this Proceedings, we shall cite the main materials of the paper. We shall present a principe of telethoscope which is stating that many solutions of linear partial differential equations of parabolic and hyperbolic types are represented by their local data of space and time of the solutions.